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Stats I · Quiz 2 · 3 Aug 2025 (Afternoon)

BSMA1002 · 15 questions · 40 marks · 60 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

BSMA1002 · Statistics for Data Science I

Quiz 2 · 3 Aug 2025 (Afternoon)

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
MSQ: One or more options correct. Select all to score.
NAT: Numerical response. No negative marking.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

Q1MCQ2 Marks·Choose one option
Key ↓
1. A0.2
2. B0.1
3. C1
4. D0.3
Q2MCQ3 Marks·Choose one option
Asked 3 times Key ↓
A survey of 800 students shows that 65% like reading and 50% like painting. If each student likes at least one of the two activities, how many students like painting but not reading?
1. A240
2. B400
3. C280
4. D120
Q3MCQ3 Marks·Choose one option
Key ↓
How many numbers greater than 10,000 can be formed using the digits 0, 2, 5, 4, 6, 8 without repetition?
1. A600
2. B120
3. C240
4. D1200
Q4NAT2 Marks·Write the number
Key ↓
In a quiz competition, eight students are competing, each assigned a roll number from 1 to 8. What is the probability that only students with prime-numbered roll numbers (i.e., 2, 3, 5, 7) secure the top four ranks, in any order? Enter the answer correct to three decimal places.
Your answer:
Q5NAT2 Marks·Write the number
Key ↓
A company has 15 offices and wants to set up two-way communication between every pair of offices. However, the 3 smallest offices will not have direct communication with one another, though each of them can still connect directly with the remaining offices. How many communication channels are needed in total?
Your answer:
Q6NAT3 Marks·Write the number
Key ↓
A group of 4 teachers and 4 students is to be seated around a circular table for a discussion. They decide that all students must sit together. Find the number of ways they can be seated around the table such that all students are sitting together.
Your answer:
Q7NAT3 Marks·Write the number
Key ↓
A basket contains 5 red balls and 4 green balls. If 3 balls are to be selected at random without replacement, in how many ways can the balls be selected such that at least one green ball is included?
Your answer:
Q8NAT3 Marks·Write the number
Key ↓
How many 5-digit numbers can be formed using the digits 0, 2, 3, 4, and 7 where digits may be repeated such that the number is divisible by 2 ?
Your answer:
Q9NAT3 Marks·Write the number
Asked 3 times Key ↓
A box C contains 3 white balls and 2 black balls, while box D contains 4 white balls and 3 black balls. One ball is randomly selected from box C and transferred to box D. After the transfer, one ball is drawn at random from box D. What is the probability that the ball drawn from box D is black? Enter the answer correct to three decimal places.
Your answer:
Q10NAT3 Marks·Write the number
Asked 3 times Key ↓
In how many different ways can the letters of the word ‘ARTICLE’ be arranged such that all the vowels always come together?
Your answer:
Q11NAT3 Marks·Write the number
Key ↓
A committee of 3 people is to be formed from a group of n people. The number of possible committees in which two particular people A and B are both included together is 7. Find the number of ways in which committee can be formed.
Your answer:
Read the passage below, then answer Q12–Q13
Based on the above data, answer the given subquestions.
Q12MCQ2 Marks·Choose one option
Key ↓
What is the probability that exactly 2 gold and 1 silver coin are drawn in the first draw?
1. A
2. B
3. C
4. D
Q13MCQ3 Marks·Choose one option
Key ↓
Given that the first draw results in 2 gold coins and 1 silver coin, what is the probability that the second draw results in exactly 2 silver coins and at least 1 gold coin?
1. A
2. B
3. C
4. D
Read the passage below, then answer Q14–Q15
Based on the above data, answer the given subquestions.
Q14MSQ3 Marks·Choose all correct options
Key ↓
Which of the following option(s) is / are correct?
1. AEvents E_1 and E_2 are mutually exclusive.
2. BEvents E_1 and E_2 are independent.
3. CThere is only 1 favorable outcome for event E_2.
4. DAll of these
Q15NAT2 Marks·Write the number
Key ↓
How many panels include at least one Mathematics student?
Your answer:

Official Key

Master Answer Key & Explanations

Official answer keys from IIT Madras BS past papers. Click any question to review.

Reveal Key

Q1B

Q2C

Q3D

Q40.011 to 0.017

Q5102

Q6576

Q774

Q81500

Q90.422 to 0.428

Q10720

Q1184

Q12C

Q13B

Q14A, C

Q1519

Questions and answer keys are reproduced from the official IIT Madras BS papers. BTechi is not affiliated with IIT Madras.